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Chapter 3: Q15 (page 86)

How many lines can be drawn through Q parallel to PR↔?

Short Answer

Expert verified

The required count of line is one.

Step by step solution

01

Step 1. Define the theorem that can be used

Theorem 3-8 can be used which states that a parallel line to another line consist of a point that is positioned on outer area of another line.

02

Step 2. Relate the theorem using the provided information

The mentioned point in theorem according to the question is Q and the another line is PR↔. Consider that the line on which Q is positioned is PQR↔that is having a parallel relation with PR↔along with this the consideration of another line AQB↔will result in formation of an angle that is from the intersection between the lines AQB↔and PR↔.

As the lines AQB↔and PQR↔are having an intersection so the line AQB↔cannot be parallel to the line PR↔.

03

Step 3. Make the conclusion

As the count of line parallel to PR↔is only one which results in that the required count is one.

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